GCD of 952, 272, 904, 899 Calculator

Given Input numbers are 952, 272, 904, 899

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Greatest Common Divisior

We found the divisors of 952, 272, 904, 899 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 952, 272, 904, 899 is 1.

Therefore, GCD of numbers 952, 272, 904, 899 is 1

Given Input Data is 952, 272, 904, 899

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 899 is 29 x 31

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(952, 272) = 1904

GCD(952, 272) = ( 952 x 272 ) / 1904

GCD(952, 272) = 258944 / 1904

GCD(952, 272) = 136

Step2:

Here we consider the GCD from the above i.e. 136 as first number and the next as 904

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(136, 904) = 15368

GCD(136, 904) = ( 136 x 904 ) / 15368

GCD(136, 904) = 122944 / 15368

GCD(136, 904) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 899

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(8, 899) = 7192

GCD(8, 899) = ( 8 x 899 ) / 7192

GCD(8, 899) = 7192 / 7192

GCD(8, 899) = 1

GCD of 952, 272, 904, 899 is 1

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1. What is the GCD of 952, 272, 904, 899?

GCD of 952, 272, 904, 899 is 1

2. Where do I get the detailed procedure to find GCD of 952, 272, 904, 899?

You can find a detailed procedure to find GCD of 952, 272, 904, 899 on our page.

3. How to find GCD of 952, 272, 904, 899 on a calculator?

You can find the GCD of 952, 272, 904, 899 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.